Existence of solutions for semilinear elliptic boundary value problems on arbitrary open sets

DOI10.3103/S1063454115040123zbMath1370.35148arXiv1507.08846OpenAlexW3101322484MaRDI QIDQ2404736

Reinhard Stahn

Publication date: 20 September 2017

Published in: Vestnik St. Petersburg University. Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.08846

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Cites Work

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• Dirichlet forms and analysis on Wiener space
• The Laplacian with Robin boundary conditions on arbitrary domains
• Invariant criteria for existence of solutions to second-order quasilinear elliptic equations